1602613488672 has 720 divisors, whose sum is σ = 5677981182720. Its totient is φ = 441683020800.

The previous prime is 1602613488571. The next prime is 1602613488673. The reversal of 1602613488672 is 2768843162061.

It is a happy number.

1602613488672 is a `hidden beast` number, since 1 + 60 + 26 + 13 + 488 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1602613488673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1933188354 + ... + 1933189182.

It is an arithmetic number, because the mean of its divisors is an integer number (7886084976).

Almost surely, 2^{1602613488672} is an apocalyptic number.

1602613488672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1602613488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838990591360).

1602613488672 is an abundant number, since it is smaller than the sum of its proper divisors (4075367694048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1602613488672 is a wasteful number, since it uses less digits than its factorization.

1602613488672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1602613488672 in words is "one trillion, six hundred two billion, six hundred thirteen million, four hundred eighty-eight thousand, six hundred seventy-two".